Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40376b |
Isogeny class |
Conductor |
40376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-152006272768 = -1 · 28 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1225,-8918] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:13328:27] |
Generators of the group modulo torsion |
j |
6750000/5047 |
j-invariant |
L |
4.5007005779368 |
L(r)(E,1)/r! |
Ω |
0.57496134255684 |
Real period |
R |
3.9139158103432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80752b1 5768b1 |
Quadratic twists by: -4 -7 |